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Finding the Fourth Proportional to 87,292.80, 130,923.36 and 24,948

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Solution

The fourth proportional to 87,292.80, 130,923.36 and 24,948 is: 37,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,292.80 : 130,923.36 = 24,948 : x
  2. Step 2: Convert to fraction form
    87,292.80/130,923.36 = 24,948/x
  3. Step 3: Cross multiply
    87,292.80x = 130,923.36 × 24,948
  4. Step 4: Simplify right side
    87,292.80x = 3,266,275,985.28
  5. Step 5: Solve for x
    x = 3,266,275,985.28/87,292.80
  6. Step 6: Final answer
    x = 37,417.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.